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Finding the Third Proportional to 147,444.75 and 222,388.88

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Solution

The third proportional to 147,444.75 and 222,388.88 is: 335,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,444.75 : 222,388.88 = 222,388.88 : x
  2. Step 2: Convert to fraction form
    147,444.75/222,388.88 = 222,388.88/x
  3. Step 3: Cross multiply
    147,444.75x = 222,388.88 × 222,388.88
  4. Step 4: Simplify right side
    147,444.75x = 49,456,811,723.77
  5. Step 5: Solve for x
    x = 49,456,811,723.77/147,444.75
  6. Step 6: Final answer
    x = 335,426.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.